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Entropy decays for 1D quantum Gibbs samplers

Tuesday, April 16, 2019
3:00 PM - 4:00 PM
Location: Annenberg 107
Angela Capel Cuevas, ICMAT

Abstract: The existence of a positive logarithmic Sobolev constant implies a bound on the mixing time of a quantum dissipative evolution under the Markov approximation. In this talk, we will discuss a new method in 1D to prove that a quantum Markov semigroup has a positive log-Sobolev constant and we will give sufficient static conditions on the Gibbs state of a local, commuting Hamiltonian to use this method to get new results for the heat-bath dynamics. This is a joint work with Ivan Bardet, Nilanjana Datta, Angelo Lucia, David Pérez-García and Cambyse Rouzé.

Series: Institute for Quantum Information (IQI) Weekly Seminar Series
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